{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:3SCU4DOH53FNPZLWB5HPSD5Q3C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4f94bdd6b011aebd9ab444e65c952e2df1a083e588cb7924ce6c28eba1a2df7f","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-05-24T18:36:26Z","title_canon_sha256":"e53f680f5a042398c18e202260e8eb1ba8d5907a18e6166390462cc7c226a399"},"schema_version":"1.0","source":{"id":"math/0605645","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0605645","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"math/0605645v3","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0605645","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"3SCU4DOH53FN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3SCU4DOH53FNPZLW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3SCU4DOH","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:22a2ca8c5ad87e578805163402317ad119c5aeb86c9465afb388f15dcc9246ab","target":"graph","created_at":"2026-05-17T23:45:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We determine the quotient category which is the representation category of the kernel of the homomorphism from Nori's fundamental group scheme to its \\'etale and local parts. Pierre Deligne pointed out an error in the first version of this article. We profoundly thank him, in particular for sending us his enlightning example reproduced in Remark 2.4 2).","authors_text":"H\\'el\\`ene Esnault, Ph\\`ung H\\^o Hai, Xiaotao Sun","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-05-24T18:36:26Z","title":"On Nori's Fundamental Group Scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0605645","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2e6ecbb523060d5f7f977d9c3abf94b1c636fba9e75ea600a3c41c82ff69a016","target":"record","created_at":"2026-05-17T23:45:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4f94bdd6b011aebd9ab444e65c952e2df1a083e588cb7924ce6c28eba1a2df7f","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-05-24T18:36:26Z","title_canon_sha256":"e53f680f5a042398c18e202260e8eb1ba8d5907a18e6166390462cc7c226a399"},"schema_version":"1.0","source":{"id":"math/0605645","kind":"arxiv","version":3}},"canonical_sha256":"dc854e0dc7eecad7e5760f4ef90fb0d88f1b9180cd8444f60715f596ab05884d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc854e0dc7eecad7e5760f4ef90fb0d88f1b9180cd8444f60715f596ab05884d","first_computed_at":"2026-05-17T23:45:55.701129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:55.701129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3nSp6tMuJw0oRHKpbIp4eeWjNiwGhie1QtJarUdg2ccNhhlu34cQl1/fkJWIWSDP9EkzgVllO7R+a4+57oOvDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:55.701562Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0605645","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e6ecbb523060d5f7f977d9c3abf94b1c636fba9e75ea600a3c41c82ff69a016","sha256:22a2ca8c5ad87e578805163402317ad119c5aeb86c9465afb388f15dcc9246ab"],"state_sha256":"af857895e8554c02deb9e051c44639536ceddaced4a4703290f93d869178b957"}